Free Vibration of Rectangular Composite Cantilever Plate and Its Application in Material Degradation Assessment

Many composite cantilever plate-like structures have found engineering applications in different industries. For attaining a meaningful assessment of the plate vibration characteristics, it is important to efficient and effective methods for determining natural frequencies/mode shapes plates. In this paper, method formulated on basis Ritz simple first-order shear deformation theory (SFSDT) presented analyze free thin as well thick rectangular plates their frequencies. SFSDT, total deflection sum two components, namely, bending through-thickness shear-deformation-induced deflections. The successful application together with SFSDT analysis relies selection independent sets characteristic functions deflections, respectively, satisfy requirements displacement force conditions at fixed edge plate. novelty proposed that functions, polynomials trigonometric which been identified used variational construct eigenvalue problem extracting modal characteristics (natural frequencies mode shapes) It has shown uses selected can produce excellent both Some existing theoretical experimental demonstrate accuracy predicting significant effects are studied show merit present method. Finally, illustrating analysis, novel procedure established sensitivity assess material degradation numerical examples fewer than 10 iterations required identification process good estimation current value each constant.